Math Problem Statement

Jawabannya

(3 - 1) + (5 - 2) + (7 - 3) and (4 - 1) + (6 - 2) + (7 - 1) + (8 - 2)

Solution

The image shows two mathematical expressions, but to assist further, let me interpret and write them clearly first:

(31)+(52)+(73)(3 - 1) + (5 - 2) + (7 - 3) and (41)+(62)+(71)+(82)(4 - 1) + (6 - 2) + (7 - 1) + (8 - 2)

Now, let’s solve these expressions step-by-step.

First expression:

(31)+(52)+(73)(3 - 1) + (5 - 2) + (7 - 3)

Solve each bracket: (31)=2,(52)=3,(73)=4(3 - 1) = 2, \quad (5 - 2) = 3, \quad (7 - 3) = 4

Now sum the results: 2+3+4=92 + 3 + 4 = 9

Second expression:

(41)+(62)+(71)+(82)(4 - 1) + (6 - 2) + (7 - 1) + (8 - 2)

Solve each bracket: (41)=3,(62)=4,(71)=6,(82)=6(4 - 1) = 3, \quad (6 - 2) = 4, \quad (7 - 1) = 6, \quad (8 - 2) = 6

Now sum the results: 3+4+6+6=193 + 4 + 6 + 6 = 19

Final answers:

  • First expression evaluates to: 9
  • Second expression evaluates to: 19

Would you like further details or clarifications?

Here are five questions to expand your understanding:

  1. How would you solve similar expressions with different numbers?
  2. What happens if you change the operations, say, replacing addition with subtraction?
  3. Can you group terms differently and still get the same result?
  4. How do parentheses affect the order of operations in expressions?
  5. What are some other methods to simplify these expressions?

Tip: Always solve operations inside parentheses first, according to the order of operations (PEMDAS/BODMAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Basic Operations
Order of Operations

Formulas

Basic addition and subtraction

Theorems

Order of operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7